{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "d2976278",
   "metadata": {},
   "source": [
    "和Q学习的区别只在于target的计算方法不同\n",
    "\n",
    "SARSA的target计算公式:\n",
    "target = Q(next_state,next_action) * gamma + reward\n",
    "\n",
    "Q学习的target计算公式:\n",
    "target = max(Q(next_state)) * gamma + reward"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "a8392954",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 300x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import gym\n",
    "\n",
    "\n",
    "#定义环境\n",
    "class MyWrapper(gym.Wrapper):\n",
    "\n",
    "    def __init__(self):\n",
    "        #is_slippery控制会不会滑\n",
    "        env = gym.make('FrozenLake-v1',\n",
    "                       render_mode='rgb_array',\n",
    "                       is_slippery=False)\n",
    "\n",
    "        super().__init__(env)\n",
    "        self.env = env\n",
    "\n",
    "    def reset(self):\n",
    "        state, _ = self.env.reset()\n",
    "        return state\n",
    "\n",
    "    def step(self, action):\n",
    "        state, reward, terminated, truncated, info = self.env.step(action)\n",
    "        over = terminated or truncated\n",
    "\n",
    "        #走一步扣一份,逼迫机器人尽快结束游戏\n",
    "        if not over:\n",
    "            reward = -1\n",
    "\n",
    "        #掉坑扣100分\n",
    "        if over and reward == 0:\n",
    "            reward = -100\n",
    "\n",
    "        return state, reward, over\n",
    "\n",
    "    #打印游戏图像\n",
    "    def show(self):\n",
    "        from matplotlib import pyplot as plt\n",
    "        plt.figure(figsize=(3, 3))\n",
    "        plt.imshow(self.env.render())\n",
    "        plt.show()\n",
    "\n",
    "\n",
    "env = MyWrapper()\n",
    "\n",
    "env.reset()\n",
    "\n",
    "env.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "add00741",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[0., 0., 0., 0.],\n",
       "       [0., 0., 0., 0.],\n",
       "       [0., 0., 0., 0.],\n",
       "       [0., 0., 0., 0.],\n",
       "       [0., 0., 0., 0.],\n",
       "       [0., 0., 0., 0.],\n",
       "       [0., 0., 0., 0.],\n",
       "       [0., 0., 0., 0.],\n",
       "       [0., 0., 0., 0.],\n",
       "       [0., 0., 0., 0.],\n",
       "       [0., 0., 0., 0.],\n",
       "       [0., 0., 0., 0.],\n",
       "       [0., 0., 0., 0.],\n",
       "       [0., 0., 0., 0.],\n",
       "       [0., 0., 0., 0.],\n",
       "       [0., 0., 0., 0.]])"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import numpy as np\n",
    "\n",
    "#初始化Q表,定义了每个状态下每个动作的价值\n",
    "Q = np.zeros((16, 4))\n",
    "\n",
    "Q"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "84cbf0ff",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "-171"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from IPython import display\n",
    "import random\n",
    "\n",
    "\n",
    "#玩一局游戏并记录数据\n",
    "def play(show=False):\n",
    "    data = []\n",
    "    reward_sum = 0\n",
    "\n",
    "    state = env.reset()\n",
    "    over = False\n",
    "    while not over:\n",
    "        action = Q[state].argmax()\n",
    "        if random.random() < 0.1:\n",
    "            action = env.action_space.sample()\n",
    "\n",
    "        next_state, reward, over = env.step(action)\n",
    "\n",
    "        data.append((state, action, reward, next_state, over))\n",
    "        reward_sum += reward\n",
    "\n",
    "        state = next_state\n",
    "\n",
    "        if show:\n",
    "            display.clear_output(wait=True)\n",
    "            env.show()\n",
    "\n",
    "    return data, reward_sum\n",
    "\n",
    "\n",
    "play()[-1]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "7bfcfd21",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(275, (0, 0, -1, 0, False))"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#数据池\n",
    "class Pool:\n",
    "\n",
    "    def __init__(self):\n",
    "        self.pool = []\n",
    "\n",
    "    def __len__(self):\n",
    "        return len(self.pool)\n",
    "\n",
    "    def __getitem__(self, i):\n",
    "        return self.pool[i]\n",
    "\n",
    "    #更新动作池\n",
    "    def update(self):\n",
    "        #每次更新不少于N条新数据\n",
    "        old_len = len(self.pool)\n",
    "        while len(pool) - old_len < 200:\n",
    "            self.pool.extend(play()[0])\n",
    "\n",
    "        #只保留最新的N条数据\n",
    "        self.pool = self.pool[-1_0000:]\n",
    "\n",
    "    #获取一批数据样本\n",
    "    def sample(self):\n",
    "        return random.choice(self.pool)\n",
    "\n",
    "\n",
    "pool = Pool()\n",
    "pool.update()\n",
    "\n",
    "len(pool), pool[0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "018c4b1e",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0 554 -116\n",
      "100 10000 -4.0\n",
      "200 10000 -6.0\n",
      "300 10000 -6.0\n",
      "400 10000 -5.0\n",
      "500 10000 -5.0\n",
      "600 10000 -105\n",
      "700 10000 -4.0\n",
      "800 10000 -4.0\n",
      "900 10000 -5.0\n",
      "1000 10000 -6.0\n",
      "1100 10000 -5.0\n",
      "1200 10000 -4.0\n",
      "1300 10000 -4.0\n",
      "1400 10000 -7.0\n",
      "1500 10000 -5.0\n",
      "1600 10000 -4.0\n",
      "1700 10000 -5.0\n",
      "1800 10000 -4.0\n",
      "1900 10000 -4.0\n"
     ]
    }
   ],
   "source": [
    "#训练\n",
    "def train():\n",
    "    #共更新N轮数据\n",
    "    for epoch in range(2000):\n",
    "        pool.update()\n",
    "\n",
    "        #每次更新数据后,训练N次\n",
    "        for i in range(200):\n",
    "\n",
    "            #随机抽一条数据\n",
    "            state, action, reward, next_state, over = pool.sample()\n",
    "\n",
    "            #Q矩阵当前估计的state下action的价值\n",
    "            value = Q[state, action]\n",
    "\n",
    "            #求下一个动作,和Q学习唯一的区别点\n",
    "            next_action = Q[next_state].argmax()\n",
    "\n",
    "            #实际玩了之后得到的reward+下一个状态的价值*0.9\n",
    "            target = reward + Q[next_state, next_action] * 0.9\n",
    "\n",
    "            #value和target应该是相等的,说明Q矩阵的评估准确\n",
    "            #如果有误差,则应该以target为准更新Q表,修正它的偏差\n",
    "            #这就是TD误差,指评估值之间的偏差,以实际成分高的评估为准进行修正\n",
    "            update = (target - value) * 0.02\n",
    "\n",
    "            #更新Q表\n",
    "            Q[state, action] += update\n",
    "\n",
    "        if epoch % 100 == 0:\n",
    "            print(epoch, len(pool), play()[-1])\n",
    "\n",
    "\n",
    "train()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "a101d0e6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 300x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "-4.0"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "play(True)[-1]"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python [conda env:pt39]",
   "language": "python",
   "name": "conda-env-pt39-py"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.13"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
